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WorksheetsMath and You (9.3 & 9.4 Review)
Total questions: 35
Worksheet time: 2hrs 45mins
The total number of data values in this histogram is...
11
7
4
15
25
Which of the following is a way to describe dispersion?
mean
median
mode
standard deviation
What does the standard deviation tell us about the data set?
How spread out the numbers are
How much each number in the data set increases by
How much each number in the data set decreases by
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
You have a mean of 56 and a standard deviation of 4.3. What is +2 standard deviations from the mean?
60.3
47.4
51.7
64.6
A normal curve has a ____ shape.
skewed left
skewed right
bimodal
symmetrical
mean
median
mode
midrange
According to the definition of normal distribution, what percentage of data falls within 1 standard deviation?
68.2%
75%
95.4%
99.8%
This data is normally distributed. What percent of the data is in the shaded region?
68.2%
75%
95.4%
99.8%
What types of data distributions exist? Check all that apply.
Normal
Left-skewed
Bimodal
Right-skewed
Flat
How would you describe the distribution of data in this histogram?
Normal
Right-skewed
Left-skewed
Flat
How would you describe the distribution of data in this histogram?
Flat
Right-skewed
Left-skewed
Bimodal
How would you describe the distribution of data in this histogram?
Flat
Right-skewed
Left-skewed
Bimodal
How would you describe the distribution of data in this histogram?
Bimodal
Right-skewed
Left-skewed
Normal
The (a) is the entire group of objects or individuals considered for a survey (AKA all of the possible data).
A (a) is a part of a group (data) being surveyed.
A representative sample must be ___________ and ____________.
inferred
randomly chosen
large enough
biased
You want to estimate the number of students in a high school who ride the school bus. Which sample is best?
4 students in the hallway
All students in the marching band
50 seniors at random
100 students at random during lunch
Martin wants to determine the general attitude toward math of the students in his school. Which of the following methods will produce a random sample?
Survey 6 students from each of Mr. Lewis' math classes.
Survey all of the students in Martin's 1st period math class.
Survey every tenth student who enters the cafeteria at lunchtime.
Survey every fourth student in the list of honors students.
Zara wants to know how teachers in the local school district feel about extending the school day to 30 minutes longer. Which method will produce a representative sample?
Survey all the teachers who have publicly protested or supported the proposal.
Survey the first 30 teachers who arrive at Zara's school in the morning.
Survey a random sample of 30 teachers within the school district.
Survey a random sample of 30 teachers and parents of kids within the district.
I randomly surveyed 10 students from every area school to get information about student interests. Which statement best describes my sample?
Biased, sample is not randomly taken or representative of the population.
Biased, sample is randomly taken & representative of the population.
Representative, sample is randomly taken & representative of the population.
Representative, sample is not randomly taken or representative of the population.
I pick the first 10 people I see on the street as a sample of the population of my town, what type of sample is this?
Representative
Biased
I drew 10 names from a hat containing the names of every student that I teach, what type of sample have I taken?
Representative
Biased
I assign each student a number and then roll a 20 sided die to determine which students will be chosen for an exercise, what type of sample is this?
Representative
Biased
To determine how often people eat out, every tenth person entering a fast food restaurant is surveyed. What type of sample is this?
Representative
Biased
A company makes DVDs and randomly selects 25 from 1500 to test them to see if they work.
Representative
Biased
The amount added and subtracted to the sample mean to create a confidence interval.
Margin of Error
Median
Population
Mean
True or False:
The more confident you want to be, the smaller your confidence interval will be.
True
False
True or False:
The larger your confidence interval is, the more sure (higher confidence level) you can be.
True
False
An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college with a margin of error of ± 1.9. What is the confidence interval?
8.1 to 11.9
73.1 to 76.9
103.3 to 107.1
-1.9 to 1.9
For a sample, the mean is 0.342 and the 95% confidence interval is 0.202 to 0.482.
What is the margin of error of this sample?
± 0.21
± 0.344
± 0.14
± 0.342
A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was $139,048 to $154,144. What does this mean?
90% of the sampled CEOs have salaries that fell between $139,048 to $154,144
We are 90% confident that the mean salary of all CEOs in the electronics industry falls between $139,048 to $154,144.
90% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144
We are 90% confident that the mean salary of the sampled CEOs falls between $139,048 to $154,144.
The lifetime of a certain type of batter is known to be normally distributed with a standard deviation of 20 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. Construct a 99% confidence interval for the mean lifetime of this type of battery.
** Be sure to use the link on Google Classroom for the Confidence Interval Calculator.
112.82 to 127.38
114.53 to 131.23
112.52 to 127.68
118.43 to 122.43
The types of of sampling used by market research departments are:
Field Trials
Surveys
Personal Interviews
Focus Groups
Observations
